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Finding the Fourth Proportional to 1,596.86, 2,203.83 and 1,007.58

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Solution

The fourth proportional to 1,596.86, 2,203.83 and 1,007.58 is: 1,390.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.86 : 2,203.83 = 1,007.58 : x
  2. Step 2: Convert to fraction form
    1,596.86/2,203.83 = 1,007.58/x
  3. Step 3: Cross multiply
    1,596.86x = 2,203.83 × 1,007.58
  4. Step 4: Simplify right side
    1,596.86x = 2,220,535.03
  5. Step 5: Solve for x
    x = 2,220,535.03/1,596.86
  6. Step 6: Final answer
    x = 1,390.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.